id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-167	Mendy, Furmose; Mendy, John T	A Modified Algorithms for New Krasnoselskii's Type for Strongly Monotone and Lipschitz Mappings	2023	11	.pdf	application/pdf	4410	308	75	− ρ∗‖2 − 2θnk‖xn − ρ∗‖2 + d2‖xn − ρ∗‖2 = ( θ2nL 2 − 2kθn + d2 ) ‖xn − ρ∗‖2 (3.4) Again, with the fact that 0 < ( θ2nL 2 − 2kθn + d2 ) Wm,p : Ju = ‖u‖2−pWm,p ∑ |α≤m| (−1)|α|Dα(|Dαu|p−2Dαu) ∈ W−m,p In Lp, `p and Wm,p spaces for 1 < p <∞ are q−uniformly smooth real Banach spaces with q, as q = min{2, p} and dq ≥ 1 (2.2) is given by dq = { 1+τq−1 (1+τ)q−1 , i f 1 < p < 2; p − 1, i f 2 ≤ p <∞. (2.3) and τ(0, 1) as the unique solution of the equation (q − 2)tq−1 + (q − 1)tq−2 − 1 = 0 It is well known that • E is smooth if and only if J is single-valued. •	cache/ma-167.pdf	txt/ma-167.txt